2224617408 has 168 divisors, whose sum is σ = 7166079648. Its totient is φ = 654686208.

The previous prime is 2224617397. The next prime is 2224617469. The reversal of 2224617408 is 8047164222.

2224617408 is a `hidden beast` number, since 2 + 2 + 246 + 1 + 7 + 408 = 666.

It is a super-2 number, since 2×2224617408² = 9897845223953276928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165766 + ... + 178682.

It is an arithmetic number, because the mean of its divisors is an integer number (42655236).

Almost surely, 2^2224617408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583039824).

2224617408 is an abundant number, since it is smaller than the sum of its proper divisors (4941462240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2224617408 is a wasteful number, since it uses less digits than its factorization.

2224617408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2224617408 is about 47165.8500188431. The cubic root of 2224617408 is about 1305.4245538107.

The spelling of 2224617408 in words is "two billion, two hundred twenty-four million, six hundred seventeen thousand, four hundred eight".